Half-Life and Doubling Time. Half-Life Phenomenon is modeled by a decreasing exponential function (shows decay). Half-life is the amount of time (length.

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Presentation transcript:

Half-Life and Doubling Time

Half-Life Phenomenon is modeled by a decreasing exponential function (shows decay). Half-life is the amount of time (length of the x-interval) over which the value of the phenomenon is cut in half.

Doubling Time Phenomenon is modeled by an increasing exponential function Doubling time is the amount of time (length of the x-interval) over which the phenomenon doubles in size.

Carbon 14 Carbon 14 has a half-life of 5730 years. Time (in years)Amt of Carbon

` The world population doubles every 51.8 years. At the beginning of the twentieth century, the world population was 1.6 billion. What was the population at the end of the twentieth century?

Time (in years)Population 01.6 billion

Fran Data Date Customers without Power Sept. 61,159,000 Sept. 7804,000 Sept. 8515,000 Sept. 9340,500 Sept ,200 Sept ,300 Sept. 1277,000 Sept. 1337,600